calcacorn

Percentage Calculator

Three everyday percentage calculations in one place.

Quick answer

Percentage = (part ÷ whole) × 100. For example, 45 out of 60 is 75%. To find X% of a number, multiply the number by X and divide by 100: 15% of 80 is 12. Percentage change = (new − old) ÷ old × 100, so going from 50 to 65 is a 30% increase.

What is X% of Y?

%

600

X is what % of Y? (marks)

77.82%

% increase / decrease

+15%

Common percentages of 100, 250 and 1,000

Common percentages of 100, 250 and 1,000
PercentOf 100Of 250Of 1,000
5%512.550
10%1025100
15%1537.5150
20%2050200
25%2562.5250
30%3075300
50%50125500
75%75187.5750

How it works

Use the first calculator for discounts, tips and shares — 20% off $80 is $16, so you pay $64. Use the second to turn a score into a percentage: 45 out of 60 is 75%, and 856 out of 1,100 is 77.82%. Use the third to see how much something changed — a salary going from 50,000 to 57,500 is a 15% increase.

A common mistake is reversing a percentage change. A 20% drop followed by a 20% rise does not bring you back to the start: 100 falls to 80, and 20% of 80 is only 16, giving 96. To undo a 20% drop you need a 25% rise.

Frequently asked questions

How do I calculate a percentage of marks or a grade?

Divide the marks you got by the total marks and multiply by 100. For example, 45 ÷ 60 × 100 = 75%.

How is percentage increase calculated?

Subtract the old value from the new value, divide by the old value, and multiply by 100.

How do I work out a discount?

Multiply the price by the discount percentage and divide by 100 to get the saving, then subtract it from the price. 30% off $60 saves $18, so you pay $42.